(x-2)-2x=3x-(x-2)

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Solution for (x-2)-2x=3x-(x-2) equation:


Simplifying
(x + -2) + -2x = 3x + -1(x + -2)

Reorder the terms:
(-2 + x) + -2x = 3x + -1(x + -2)

Remove parenthesis around (-2 + x)
-2 + x + -2x = 3x + -1(x + -2)

Combine like terms: x + -2x = -1x
-2 + -1x = 3x + -1(x + -2)

Reorder the terms:
-2 + -1x = 3x + -1(-2 + x)
-2 + -1x = 3x + (-2 * -1 + x * -1)
-2 + -1x = 3x + (2 + -1x)

Reorder the terms:
-2 + -1x = 2 + 3x + -1x

Combine like terms: 3x + -1x = 2x
-2 + -1x = 2 + 2x

Solving
-2 + -1x = 2 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-2 + -1x + -2x = 2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = 2 + 0
-2 + -3x = 2

Add '2' to each side of the equation.
-2 + 2 + -3x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 2 + 2
-3x = 2 + 2

Combine like terms: 2 + 2 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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